Abstract
The paper presents an MHD stability analysis for low frequency modes observed in the Tandem Mirror Experiment-Upgrade (TMX-U). This MHD flute mode analysis emphasizes two key points concerning TMX-U: (1) the central cell E⃗ × B⃗ rotation, with appropriate radial boundary conditions, is a significant instability drive for the m = 1 mode, and (2) the anchor hot electrons decouple from the MHD dynamics. It is found that the stability predictions and the oscillation frequencies are consistent with the selected TMX-U mode of operation that has been analysed. The principal stabilizing effect of hot electrons is to introduce a negative charge uncovering and to increase the effective curvature of the anchor region so that the sloshing ions can have a stabilizing influence. Instability can occur when ion charge uncovering caused by the finite Larmor radius cancels the negative effects of the hot electron charge uncovering.
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